Problem $1(40$ points$).$ The bearings of the sides of the open traverse in the following diagram are given below.

Bearing of $AB=51{20}^{\text{'}}{30}^{\text{'}\text{'}}SE$

Bearing of $BC=60{20}^{\text{'}}{10}^{\text{'}\text{'}}NE$

Bearing of $CD=50{23}^{\text{'}}{45}^{\text{'}\text{'}}SE$

Bearing of $DE=54{21}^{\text{'}}{20}^{\text{'}\text{'}}SW$

$($a$)$ Draw the open traverse on your paper and the quadrants at each station. Indicate the deflection angles on the drawing.

$($b$)$ Calculate the deflection angles at stations B$,$ C and D$.$ Show calculations for each station.